u = a(x) + b(x)v, (3) where b(x) is a nonsingular matrix, and v ∈ Rp is a transformed or virtual input, so that the inputoutput response between v and y is linear. This requirement is called input-output linearization because only the input-output map h is made linear. On the other hand, full state linearization refers to the case when the whole state x must be “linearized”. Linearization of th...

This paper proposes a convex approach to the H-infinity output feedback problem for a class of uncertain nonlinear systems in which the system matrices are allowed to be rational functions of the state and uncertain parameters. We derive sufficient linear matrix inequality (LMI) conditions for designing full-order output feedback controllers that assure the regional stability of the nonlinear s...

This paper examines the problem of designing a robust H∞ state-feedback controller for a class of nonlinear systems with time-varying delay described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, we develop a robust H∞ state-feedback controller which guarantees the L2-gain of the mapping from the exogenous input noise to the regulated output to be less...

This paper studies quantized and delayed state-feedback control of linear systems. We consider two types of quantization: quantized feedback and quantized state. The quantizer may be either unconstrained or saturated with a given quantization error bound. The delay is supposed to be time-varying and bounded. The controller is designed with the following property: all the states of the closed-lo...

The stabilization of linear differential linear repetitive processes subject to saturating controls is addressed. Sufficient conditions obtained via a linear matrix inequality (LMI) formulation are stated to guarantee both the local stabilization and the satisfaction of some performance requirements. The method of synthesis consists in determining simultaneously a state feedback control law and...

This report presents a procedure to synthesize a stabilizing periodic static state-feedback controller that does not explicitly need the application of the Floquet theory and which can be easily computed numerically. In addition to the complete uniform controllability condition, which is a common requirement in this kind of problem, the open-loop system must also be uniformly observable with th...

Item recommendation from implicit feedback is the task of predicting a personalized ranking on a set of items (e.g. movies, products, video clips) from user feedback like clicks or product purchases. We evaluate the performance of a matrix factorization model optimized for the new ranking criterion BPR-Opt on data from a BBC video web application. The experimental results indicate that our appr...

In this paper, a new class of composite systems, called switched composite systems, whose subsystems are switched systems is proposed. This class of systems can be viewed as a natural extension of both composite systems and switched systems. We design decentralized switching laws for this class of systems to be asymptotically stable. For general composite systems, decentralized hybrid state fee...

Digital control systems with random but bounded delays in the feedback loop can be modeled as finite-dimensional, discrete-time jump linear systems, with the transition jumps being modeled as finite-state Markov chains. This type of system can be called a “stochastic hybrid system”. Due to the structure of the augmented state-space model, control of such a system is an output feedback problem, ...

This note is concerned with the and positive-real control problems for linear neutral delay systems. The purpose of control is the design of a memoryless state feedback controller which stabilizes the neutral delay system and reduces the norm of the closed-loop transfer function from the disturbance to the controlled output to a prescribed level, while the purpose of positive-real control is to...